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Reflection of water waves in the presence of surface tension by a nearly vertical porous wall

Chakrabarti, A and Sahoo, T (1998) Reflection of water waves in the presence of surface tension by a nearly vertical porous wall. In: Journal of Austrelian Mathmetical Society Series B Applied Mathmetics, 39 (3). pp. 308-317.

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Abstract

In the present paper the problem of reflection of water waves by a nearly vertical porous wall in the presence of surface tension has been investigated. A perturbational approach for the first-order correction has been employed as compared with the corresponding vertical wall problem. A mixed Fourier transform together with the regularity property of the transformed function along the positive real axis has been used to obtain the potential functions along with the reflection coefficients up to first order. Whilst the problem of water of infinite depth is the subject matter of the present paper, a similar approach is applicable to problems associated with water of finite depth.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Australian Mathematical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Dec 2009 09:29
Last Modified: 10 Jan 2012 09:18
URI: http://eprints.iisc.ernet.in/id/eprint/19120

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